6.1 practice problems
6.1 practice problems
1. 2^12 or 4096
2. 3^2/ 4^2 = 9/16
3. -5^-2 or 1/25
4. x^0 =1
5. 70b^2
6.2 problems State whether or not the given function is a polynomial. If so, then state the degree, type, and leading coefficient.
1. f(x)= 12-5x YES, 1, linear
2. f(x)= x+π NO
3. f(x)= -2x^3-3x^-3+x Yes, 3, cubic
4. f(x)= x^2-x+1 yes, 2, square
5. f(x)= 3x^3 Yes, 3, cubic
When x=5, evaluate the given polynomial functions using direct substitution.
1. f(x)= 2x^3+5x^2+4x+8 f(x)= 403
2. f(x)=x+1/2x^3
3. f(x)=5x^4-8x^3+7x^2
4. f(x)=11x^3-6x^2+2
5. f(x)=7x^3+9x^2+3x
When x=-3, evaluate the following fuctions using synthetic division.
1.f(x)= 3x^5+5x^3+2x+9
2. f(x)=x^2+1/2x-3
3. f(x)=x^4-6x^2+7x
4. f(x)=4x^3+x^2+2
5. f(x)=7x^4+5x^3+3x
Graph each function, then describe its end behavior.
1.-5x^3-2
2.x^2+1
3.x^5-2x^2+2
6.1 practice problems
1. 2^12 or 4096
2. 3^2/ 4^2 = 9/16
3. -5^-2 or 1/25
4. x^0 =1
5. 70b^2
6.2 problems
State whether or not the given function is a polynomial. If so, then state the degree, type, and leading coefficient.
1. f(x)= 12-5x YES, 1, linear
2. f(x)= x+π NO
3. f(x)= -2x^3-3x^-3+x Yes, 3, cubic
4. f(x)= x^2-x+1 yes, 2, square
5. f(x)= 3x^3 Yes, 3, cubic
When x=5, evaluate the given polynomial functions using direct substitution.
1. f(x)= 2x^3+5x^2+4x+8 f(x)= 403
2. f(x)=x+1/2x^3
3. f(x)=5x^4-8x^3+7x^2
4. f(x)=11x^3-6x^2+2
5. f(x)=7x^3+9x^2+3x
When x=-3, evaluate the following fuctions using synthetic division.
1.f(x)= 3x^5+5x^3+2x+9
2. f(x)=x^2+1/2x-3
3. f(x)=x^4-6x^2+7x
4. f(x)=4x^3+x^2+2
5. f(x)=7x^4+5x^3+3x
Graph each function, then describe its end behavior.
1.-5x^3-2
2.x^2+1
3.x^5-2x^2+2